SOLUTION: Given f(x) below, graph over the domain [-3, 3], what is the range?
f(x)={x if x>=0
{1 if -1<=x<0
{x-2 if x<-1
Algebra.Com
Question 886966: Given f(x) below, graph over the domain [-3, 3], what is the range?
f(x)={x if x>=0
{1 if -1<=x<0
{x-2 if x<-1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given f(x) below, graph over the domain [-3, 3], what is the range?
f(x)={x if x>=0
{1 if -1<=x<0
{x-2 if x<-1
------
Left-most interval::
-3<= x < -1 ; Rule is y = x-2 ; Range is -5<= y < -3
----
Middle interval::
[-1<= x < 0 ; Rule is y = 1 ; Range is y = 1
----
Right-most interval::
0<= x <=3 ; Rule is y = x ; Range is 0<= y <=3
----
Range in interval form:: [-5,-3]U[0,3]
====================
Cheers,
Stan H.
--------------------
RELATED QUESTIONS
Given f(x) below, graph over the domain [-3, 3], what is the range?
f(x)=... (answered by greenestamps)
What is the domain and range of a graph with these two equations?
f(x)=1 {x < 0}... (answered by Boreal)
given the function f(x)= 2x, if 0 (answered by Fombitz)
The set {(x,y)}|x=0
The domain of the functioned defined by f(x)=√3-x is the set... (answered by ikleyn)
f(0), f(2), f(4)
f(x)= -1-x if x<2 and 5-x if x>2
Need domain, range and value of x to... (answered by stanbon)
What is the domain of the given function?
f(x) = -x + 3 if x ≤ 0
-1/2x + 6 (answered by ikleyn)
Let f(x) = 2x + 5. find the range of f(x) if it has a domain (-1, 0,... (answered by Fombitz)
please help.
Let .f(x)= x+2 if -3<=x<0
x^2 + 1 if 0 <=x<=2
(answered by Nate)
For each function, graph the function and its inverse. If the inverse is a function,... (answered by MathLover1)